871967 has 4 divisors (see below), whose sum is σ = 917880. Its totient is φ = 826056.

The previous prime is 871963. The next prime is 871973. The reversal of 871967 is 769178.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 769178 = 2 ⋅384589.

It is a cyclic number.

It is not a de Polignac number, because 871967 - 2² = 871963 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 871967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22928 + ... + 22965.

It is an arithmetic number, because the mean of its divisors is an integer number (229470).

2⁸⁷¹⁹⁶⁷ is an apocalyptic number.

871967 is a deficient number, since it is larger than the sum of its proper divisors (45913).

871967 is a wasteful number, since it uses less digits than its factorization.

871967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45912.

The product of its digits is 21168, while the sum is 38.

The square root of 871967 is about 933.7917326685. The cubic root of 871967 is about 95.5359184354.

The spelling of 871967 in words is "eight hundred seventy-one thousand, nine hundred sixty-seven".